Answer to Question #152563 in Statistics and Probability for Daniel

Question

Twenty raffle tickets numbered 1 to 20 and one is drawn at random What is the probability that the number shown on the ticket is an odd number or a prime number?

a. 0.4
b. 0.55
c. 0.9
d. 0.5

Answer 1

n(S) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10

11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

Number of odd tickets:

1, 3, 5, 7, 9, 11, 13, 15, 17, 19

n(E₁) = 10

Number of prime number tickets:

2, 3, 5, 7, 11, 13, 17, 19

n(E₂) = 8

Total event = n(E₁) + n(E₂) – common element number

$= 10 + 8 - 7$

n(E) = 11

$P = \frac{n(E)}{n(S)} \\ =\frac{11}{20} \\ = 0.55$

Answer: b. 0.55